Question

Find the probability of not observing a sum that is a multiple of 4 after tossing two die. You must draw a product table after tossing to receive credit for your answer?

Answer 1

Answer:

3/4

Explanation:

When two die are tossed, the sample space for the possible outcomes is given below:

Next, we make a product table for the sum:

From the table:

• The number of sums that are multiples of 4 (circled) = 9

,

• The total outcome = 36

Therefore:

$\begin{gathered} P(\text{sum is not a multiple of 4)}=1-P(\text{sum is a multiple of 4)} \\ =1-\frac{9}{36} \\ =1-\frac{1}{4} \\ =\frac{3}{4} \end{gathered}$

The probability of not observing a sum that is a multiple of 4 is 3/4.